Geodesic
Results on impulsive fractional integro-differential equations involving Atangana-Baleanu derivative
Filomat, Tome 36 (2022) no. 13, p. 4617

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DOI

In this paper, we consider the impulsive fractional integro-differential equations involving Atangana-Baleanu fractional derivative. The main tools consist a fractional integral operator contains generalized Mittag-Leffler function, Gronwall-Bellman inequality with continuous functions and the Krasnoselskii's fixed point theorem.
DOI : 10.2298/FIL2213617K
Classification : 26A33, 34A12, 34A40, 47H10
Keywords: Fixed point, fractional differential equations, Atangana–Baleanu derivative, existence and uniqueness, Gronwall- Bellman inequality, Mittag-Leffler function 
Kulandhivel Karthikeyan; Ozgur Ege; Panjayan Karthikeyan. Results on impulsive fractional integro-differential equations involving Atangana-Baleanu derivative. Filomat, Tome 36 (2022) no. 13, p. 4617 . doi: 10.2298/FIL2213617K
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     title = {Results on impulsive fractional integro-differential equations involving {Atangana-Baleanu} derivative},
     journal = {Filomat},
     pages = {4617 },
     year = {2022},
     volume = {36},
     number = {13},
     doi = {10.2298/FIL2213617K},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2213617K/}
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